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Finding the Third Proportional to 306,110 and 482,642

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Solution

The third proportional to 306,110 and 482,642 is: 760,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110 : 482,642 = 482,642 : x
  2. Step 2: Convert to fraction form
    306,110/482,642 = 482,642/x
  3. Step 3: Cross multiply
    306,110x = 482,642 × 482,642
  4. Step 4: Simplify right side
    306,110x = 232,943,300,164
  5. Step 5: Solve for x
    x = 232,943,300,164/306,110
  6. Step 6: Final answer
    x = 760,979.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.